Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T16:28:56.245Z Has data issue: false hasContentIssue false

Estimating a Demand System with Seasonally Differenced Data

Published online by Cambridge University Press:  26 January 2015

Ardian Harri
Affiliation:
Department of Agricultural Economics, Mississippi State University, Mississippi State, MS
B. Wade Brorsen
Affiliation:
Department of Agricultural Economics, Oklahoma State University, Stillwater, OK
Andrew Muhammad
Affiliation:
Markets and Trade Economics Division, Economic Research Service, U.S. Department of Agriculture, Washington, DC
John D. Anderson
Affiliation:
American Farm Bureau Federation, Washington, DC

Abstract

Several recent papers have used annual changes and monthly data to estimate demand systems. Such use of overlapping data introduces a moving average error term. This paper shows how to obtain consistent and asymptotically efficient estimates of a demand system using seasonally differenced data. Monte Carlo simulations and an empirical application to the estimation of the U.S. meat demand are used to compare the proposed estimator with alternative estimators. Once the correct estimator is used, there is no advantage to using overlapping data in estimating a demand system.

Type
Research Article
Copyright
Copyright © Southern Agricultural Economics Association 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Beach, C.M., and MacKinnon, J.G.Maximum Likelihood Estimation of Singular Equation Systems with Autoregressive Disturbances.International Economic Review 20(1979):459–64.CrossRefGoogle Scholar
Beaulieu, J.J., and Miron, J.A.Seasonal Unit Roots in Aggregate US Data.Journal of Econometrics 55(1993):305–28.CrossRefGoogle Scholar
Berndt, E.R., and Savin, N.E.Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances.” Econometrica 43,Sep-Nov(1975):937–58.CrossRefGoogle Scholar
Box, G.E.P.and Jenkins, G.M.Time Series Analysis and Forecasting, and Control. San Francisco, CA: Holden-Day, 1970.Google Scholar
Brown, M., and Lee, J.A Measurement of the Quality of Orange Juice Consumption.Agribusiness 16,3(2000):321–32.3.0.CO;2-Z>CrossRefGoogle Scholar
Brown, M., Lee, J., and Seale, J.L.A Family of Inverse Demand Systems and Choice of Functional Form.Empirical Economics 20(1995):519–30.CrossRefGoogle Scholar
Bryant, H.L., and Davis, G.Revisiting Aggregate U.S. Meat Demand with a Bayesian Averaging of Classical Estimates Approach: Do We Need a More General Theory?American Journal of Agricultural Economics 90,1(2008):103–16.CrossRefGoogle Scholar
Chiang, ES., Lee, J.Y., and Brown, M.G.The Impact of Inventory on Tuna Price: An Application of Scaling in the Rotterdam Inverse Demand System.” Journal of Agricultural and Applied Economics 33,December(2001):403–11.Google Scholar
Clements, M.P., and Hendry, D.F.An Empirical Study of Seasonal Unit Roots in Forecasting.International Journal of Forecasting 13(1997):341–55.CrossRefGoogle Scholar
Davis, G.C.The Structure of Models: An Application to Theory of Reduction and Testing with a Production Example.” Journal of Agricultural and Resource Economics 29, April(2004):6578.Google Scholar
Deaton, A., and Muellbauer, J.An Almost Ideal Demand System.” The American Economic Review 70,June(1980):312–26.Google Scholar
Duffy, M.H.Advertising and Alcoholic Drink Demand in the UK: Some Further Rotterdam Model Estimates.International Journal of Advertising 9(1990):247–58.CrossRefGoogle Scholar
Eales, J., Durham, C., and Wessells, C.R.Generalized Models of Japanese Demand for Fish.” American Journal of Agricultural Economics 79,November(1997):1153–63.CrossRefGoogle Scholar
Fraser, L, and Moosa, I.A.Demand Estimation in the Presence of Stochastic Trend and Seasonality: The Case of Meat Demand in the United Kingdom.American Journal of Agricultural Economics 84,1(2002):8389.CrossRefGoogle Scholar
Harri, A., and Brorsen, B.W.The Overlapping Data Problem.Quantitative and Qualitative Analysis in Social Sciences 3,3(2009):78115.Google Scholar
Harvey, A., and Scott, A.Seasonality in Dynamic Regression Models.” The Economic Journal 104, November(1994):1324-45.CrossRefGoogle Scholar
Hylleberg, S., Engle, R.E, Granger, C.W.J., and Yoo, S.B.Seasonal Integration and Cointegration.Journal of Econometrics 44(1990):215–38.CrossRefGoogle Scholar
Kinnucan, H., Xiao, H., Hsia, C., and Jackson, J.Effects of Health Information and Generic Advertising on U.S. Meat Demand.” American Journal of Agricultural Economics 79,February(1997):1323.CrossRefGoogle Scholar
Lee, J.C.Nested Rotterdam Model: Application to Marketing Research with Special Reference to Telecommunications Demand.International Journal of Forecasting 4(1988):193206.CrossRefGoogle Scholar
McDougall, R.S.The Seasonal Unit Root Structure in New Zealand Macroeconomic Variables.Applied Economics 27(1995):817–27.CrossRefGoogle Scholar
Muhammad, A.The Impact of Increasing Non-agricultural Market Access on EU Demand for Imported Fish: Implications for Lake Victoria Chilled Fillet Exports.European Review of Agriculture Economics 34(2007):117.Google Scholar
Muhammad, A., Jones, K., and Hahn, W.F.The Impact of Domestic and Import Prices on U.S. Lamb Imports: A Production System Approach.Agricultural and Resource Economics Review 36(2007):293303.CrossRefGoogle Scholar
Seale, J.L., Marchant, M.A., and Basso, A.Import Versus Domestic Production: A Demand System Analysis of the U.S. Red Wine Market.” Review of Agricultural Economics 25, 1(2003):187202.CrossRefGoogle Scholar
Schmitz, J.D., and Capps, O.A Complete Systems Analysis of Nutritional Awareness and Food Demand.” Texas A&M Agricultural Experiment Station Bulletin 1712, 1993.Google Scholar
United States Department of Agriculture. Livestock and Poultry Situation and Outlook Reports (provides entire time series back to 1989). Internet site: http://www.ers.usda.gov (Accessed April 2008).Google Scholar
Wang, D., and Tomek, W.G.Commodity Prices and Unit Root Tests.American Journal of Agricultural Economics 89(2007):873–89.CrossRefGoogle Scholar